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Finding the Fourth Proportional to 2,111.83, 3,168.20 and 631.17

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Solution

The fourth proportional to 2,111.83, 3,168.20 and 631.17 is: 946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.83 : 3,168.20 = 631.17 : x
  2. Step 2: Convert to fraction form
    2,111.83/3,168.20 = 631.17/x
  3. Step 3: Cross multiply
    2,111.83x = 3,168.20 × 631.17
  4. Step 4: Simplify right side
    2,111.83x = 1,999,672.79
  5. Step 5: Solve for x
    x = 1,999,672.79/2,111.83
  6. Step 6: Final answer
    x = 946.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.